Tips and Tricks to solve aptitude problems on Mixtures and Alligation

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Alligation:It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price.

Mean Price:The cost of a unit quantity of the mixture is called the mean price.

Rule of Alligation:If two ingredients are mixed, then

Quantity of cheaper

=

C.P. of dearer – Mean Price

Quantity of dearer

Mean price – C.P. of cheaper

We present as under:

C.P. of a unit quantity
of cheaperC.P. of a unit quantity
of dearer

(c)

Mean Price
(m)

(d)

(d – m)

(m – c)

(Cheaper quantity) : (Dearer quantity) = (d – m) : (m – c).

Suppose a container contains x of liquid from which y units are taken out and replaced by water.

After n operations, the quantity of pure liquid =

x

1 –

y

n

units.

1. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

A. Rs. 169.50

B. Rs. 170

C. Rs. 175.50

D. Rs. 180

2. A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A. 10

B. 20

C. 21

D. 25

3. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

A. 4 litres, 8 litres

B. 6 litres, 6 litres

C. 5 litres, 7 litres

D. 7 litres, 5 litres

4. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

A. 3 : 7

B. 5 : 7

C. 7 : 3

D. 7 : 5

5.How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

A. 36 kg

B. 42 kg

C. 54 kg

D. 63 kg

quiz on alligation or mixture

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